Notes on Convergence Results for Parabolic Equations with Riemann–Liouville Derivatives

Long Le Dinh () and O’regan Donal
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Long Le Dinh: Division of Applied Mathematics, Thu Dau Mot University, Thu Dau Mot City 75000, Binh Duong Province, Vietnam
O’regan Donal: School of Mathematical and Statistical Sciences, University of Galway, H91 TK33 Galway, Ireland

Mathematics, 2022, vol. 10, issue 21, 1-13

Abstract: Fractional diffusion equations have applications in various fields and in this paper we consider a fractional diffusion equation with a Riemann–Liouville derivative. The main objective is to investigate the convergence of solutions of the problem when the fractional order tends to 1 − . Under some suitable conditions on the Cauchy data, we prove the convergence results in a reasonable sense.

Keywords: fractional diffusion equation; Riemman–Liouville; regularity; convergence rate (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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